| ANALYSES FOR A MATHEMATICAL MODEL OF THE PATTERN FORMATION ON SHELLS OF MOLLUSCS |
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| 引用本文： | MEI MING AND XIAO YINGKUN. ANALYSES FOR A MATHEMATICAL MODEL OF THE PATTERN FORMATION ON SHELLS OF MOLLUSCS[J]. 高校应用数学学报(英文版), 1995, 10(4): 411-418. DOI: 10.1007/BF02662496 |
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| 作者姓名： | MEI MING AND XIAO YINGKUN |
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| 摘 要： | ＡＮＡＬＹＳＥＳＦＯＲＡＭＡＴＨＥＭＡＴＩＣＡＬＭＯＤＥＬＯＦＴＨＥＰＡＴＴＥＲＮＦＯＲＭＡＴＩＯＮＯＮＳＨＥＬＬＳＯＦＭＯＬＬＵＳＣＳＭＥＩＭＩＮＧＡＮＤＸＩＡＯＹＩＮＧＫＵＮＡｂｓｔｒａｃｔ：Ｔｈｉｓｐａｐｅｒａｎａｌｙｓｅｓａｍａｔｈｅｍａｔｉ...
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| 收稿时间： | 1992-12-23 |
Analyses for a mathematical model of the pattern formation on shells of molluscs |
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| Ming Mei,Yingkun Xiao. Analyses for a mathematical model of the pattern formation on shells of molluscs[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 10(4): 411-418. DOI: 10.1007/BF02662496 |
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| Authors: | Ming Mei Yingkun Xiao |
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| Affiliation: | MEI MING AND XIAO YINGKUN |
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| Abstract: | This paper analyses a mathematical model of the pattern formation on the shell of molluscs which is actually a kind of reaction-diffusion system. The existence and uniqueness of a global smooth solution of this system with Cauchy problem and its stability and time decay rate are studied by means of an elementary energy method. |
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| Keywords: | Reaction-diffusion equations smooth solutions asymptotic stability. |
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